# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0167
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0167?run=74
# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 83, page id 824573315:0167
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=167
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000167.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

PROP. 35. DeSectionibus Conicis.
crum-tran(verlam terminantes, Fertices Opposeti: PUT
ctumq: inter oppoluos rerrices medium, eltucriq; IIy-
PETbOIA CCNLFUM COMMUHC.
Hx aurem HypertoX Oppohix, respondent Hyperbolis
Depolicorum conorum eodem plano scctorum.
PROP. XZXV.
Corollaria.
Atet ex dictis; Cum (it h2 =ld +- d: TTorum
in Ayperbola quaruor, Diametro-tran(versa
Diametro-intercepte, Latere. recto, e Ordinatim- appli-
catai Datistribus quibulris, etiam religuum (magni-
cudinc) dari. Nempe (dilponendo et relolvendo x-
quationes) erit
Ordinacim-applicata, h = V: ld t - d2: -
1d + c2
Ejusq quadratum, h-ld+ de=
1dF d2)
Latus Rectum,
1a + a2 t.
Diameter-tran(verla, 1=
1d + a2 1
Diameter- interCCpTA, d = V: 41 2t, B2. - 21
Adcoq;; Diametrorum eransverlae e interceptae
leatum, 1+d = V: 412+, B2: + 21.
Distancia puncti applicationis a centrO. C= V: 21 2t
3
lates